Title
Copula based generalized additive models for location, scale and shape with non-random sample selection.
Abstract
Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. An extension of the generalized additive models for location, scale and shape which accounts for non-random sample selection by introducing a selection equation is discussed. The proposed approach allows for potentially any parametric distribution for the outcome variable, any parametric link function for the selection equation, several dependence structures between the (outcome and selection) equations through the use of copulae, and various types of covariate effects. Using a special case of the proposed model, it is shown how the score equations are corrected for the bias deriving from non-random sample selection. Parameter estimation is carried out within a penalized likelihood based framework. The empirical effectiveness of the approach is demonstrated through a simulation study and a case study. The models can be easily employed via the gjrm() function in the R package GJRM.
Year
DOI
Venue
2018
10.1016/j.csda.2018.05.001
Computational Statistics & Data Analysis
Keywords
Field
DocType
Additive predictor,Copula,Marginal distribution,Non-random sample selection,Penalized regression spline,Simultaneous equation estimation
Applied mathematics,Covariate,Copula (linguistics),Parametric statistics,Sampling (statistics),Estimation theory,Statistics,Generalized additive model,Marginal distribution,Mathematics,Special case
Journal
Volume
ISSN
Citations 
127
0167-9473
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Malgorzata Wojtys100.34
Giampiero Marra2163.84
Rosalba Radice3144.52